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Superconvergence in velocity and pressure for the 3D time-dependent Navier-Stokes equations
(Sociedad Española de Matemática Aplicada, 2012-01)
This work is devoted to the superconvergence in space approximation of a fully discrete scheme for the incompressible time-dependent Navier-Stokes Equations in three-dimensional domains. We discrete by Inf-Sup-stable Finite ...
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Existence, degenerate regularity and limit behavior of trajectory statistical solution for the 3D incompressible micropolar fluids flows with damping term
(Springer, 2022-05-15)
This article studies the existence, degenerate regularity and limit behavior of the trajectory statistical solution for a three-dimensional incompressible micropolar fluids flows with a damping term. The authors first ...
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Reproductivity for a nematic liquid crystal model
(2006-11)
In this paper we prove existence of weak solution with the reproductivity in time property, for a penalized PDE's system related to a nematic liquid crystal model. This problem is relatively explicit when time-independent ...
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Stability of Nonlinear Functional Stochastic Evolution Equations of Second Order in Time
(2006)
Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations of second order in time are established. As a consequence of these results, the pathwise exponential ...
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Numerical modeling of buoyant turbulent mixing layers
(Sociedad Española de Matemática Aplicada, 2008)
We introduce in this paper some elements for the mathematical and numerical analysis of turbulence models for oceanic surface mixing layers. In these models the turbulent diffusions are parameterized by means of the ...
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A review of variational multiscale methods for the simulation of turbulent incompressible flows
(Springer, 2015)
Various realizations of variational multiscale (VMS) methods for simulating turbulent incompressible flows have been proposed in the past fifteen years. All of these realizations obey the basic principles of VMS methods: ...
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Saddle-node canard cycles in slow-fast planar piecewise linear differential systems
(Elsevier, 2024-05)
By applying a singular perturbation approach, canard explosions exhibited by a general family of singularly perturbed planar Piecewise Linear (PWL) differential systems are analyzed. The performed study involves both ...
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Exponential Stability of Mild Solutions of Stochastic Partial Differential Equations with Delays
(1999)
A semilinear stochastic partial differential equation with variable delays is considered. Sufficient conditions for the exponential stability in the p–th mean of mild solutions are obtained. Also, pathwise exponential ...
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Γ-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients
(Elsevier, 2017-03)
The present paper deals with the asymptotic behavior of equi-coercive sequences {Fn} of nonlinear functionals defined over vector-valued functions in W1,p 0 (Ω)M , where p > 1, M ≥ 1, and Ω is a bounded open set of RN , N ...
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Practical stability with respect to a part of variables of stochastic differential equations
(Taylor & Francis, 2020-01-01)
In this paper, practical stability with respect to a part of the variables of nonlinear stochastic differential equations is studied. The analysis of the global practical uniform asymptotic stability, the global practical ...